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Finding the Third Proportional to 356,985 and 750,784

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Solution

The third proportional to 356,985 and 750,784 is: 1,578,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,985 : 750,784 = 750,784 : x
  2. Step 2: Convert to fraction form
    356,985/750,784 = 750,784/x
  3. Step 3: Cross multiply
    356,985x = 750,784 × 750,784
  4. Step 4: Simplify right side
    356,985x = 563,676,614,656
  5. Step 5: Solve for x
    x = 563,676,614,656/356,985
  6. Step 6: Final answer
    x = 1,578,992.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.